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Finding the Fourth Proportional to 524.29, 728.54 and 518.60

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Solution

The fourth proportional to 524.29, 728.54 and 518.60 is: 720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.29 : 728.54 = 518.60 : x
  2. Step 2: Convert to fraction form
    524.29/728.54 = 518.60/x
  3. Step 3: Cross multiply
    524.29x = 728.54 × 518.60
  4. Step 4: Simplify right side
    524.29x = 377,814.61
  5. Step 5: Solve for x
    x = 377,814.61/524.29
  6. Step 6: Final answer
    x = 720.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.